Fast solution of mixed-potential time-domain integral equations for half-space environments

Hakan Baǧci*, Ali E. Yilmaz, Vitaliy Lomakin, Eric Michielssen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

55 Scopus citations


A fast Fourier transform-accelerated integral-equation based algorithm to efficiently analyze transient scattering from planar perfect electrically conducting objects residing above or inside a potentially lossy dielectric half-space is presented. The algorithm requires O(NtNs(log Ns + log2 Nt)) CPU and O(NtN s) memory resources when analyzing electromagnetic wave interactions with uniformly meshed planar structures. Here, Nt and Ns are the numbers of simulation time steps and spatial unknowns, respectively. The proposed scheme is therefore far more efficient than classical time-marching solvers, the CPU and memory requirements of which scale as O(Nt 2 Ns2) and O(NtNs 2). In the proposed scheme, all pertinent time-domain half-space Green functions are (pre) computed from their frequency-domain counterparts via inverse discrete Fourier transformation. In this process, in-band aliasing is avoided through the application of a smooth and interpolatory window. Numerical results demonstrate the accuracy and efficiency of the proposed algorithm.

Original languageEnglish (US)
Pages (from-to)269-279
Number of pages11
JournalIEEE Transactions on Geoscience and Remote Sensing
Issue number2
StatePublished - Feb 2005
Externally publishedYes


  • Buried object
  • Fast fourier transform (FFT)
  • Marching-on-in-time (MOT)
  • Sommerfeld integrals
  • Time-domain half-space green functions
  • Time-domain integral equations

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • General Earth and Planetary Sciences


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